Atkin-Lehner |
2- 7- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558x |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-19630839032 = -1 · 23 · 72 · 313 · 412 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-218,-6945] |
[a1,a2,a3,a4,a6] |
j |
-23389536625/400629368 |
j-invariant |
L |
3.1424840864284 |
L(r)(E,1)/r! |
Ω |
0.52374708467832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558r1 |
Quadratic twists by: -7 |